815160061518 has 128 divisors (see below), whose sum is σ = 1939622630400. Its totient is φ = 225552107520.

The previous prime is 815160061493. The next prime is 815160061553.

815160061518 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 815160061518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14460255 + ... + 14516517.

It is an arithmetic number, because the mean of its divisors is an integer number (15153301800).

Almost surely, 2^815160061518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815160061518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969811315200).

815160061518 is an abundant number, since it is smaller than the sum of its proper divisors (1124462568882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

815160061518 is a wasteful number, since it uses less digits than its factorization.

815160061518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56682.

The product of its (nonzero) digits is 57600, while the sum is 42.

The spelling of 815160061518 in words is "eight hundred fifteen billion, one hundred sixty million, sixty-one thousand, five hundred eighteen".